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3 years ago

The capacity of a beaker is 150ml,how many beakers can be filled from a 4L Container ?

1 answer:

7 0

1 L = 1000 ml so you can do from 4 L you can do 4000 / 150 = 26,66 (after rounding it to its tenth) beakers.

1 g = 1000 mg so you'd need to take 1000 / 500 = 2 pills.

Again, 1 g = 2000 mg so 2,000 = 2 g of sodum.

You might be interested in

Identify the interval on which the quadratic function is positive.

Alenkasestr [34]

Answer:

$\textsf{1. \quad Solution: $1 < x < 4$,\quad Interval notation: $(1, 4)$}$

$\textsf{2. \quad Solution: $-2 < x < 4$,\quad Interval notation: $(-2, 4)$}$

Step-by-step explanation:

<h3>Question 1</h3>

The intervals on which a quadratic function is positive are those intervals where the function is above the x-axis, i.e. where y > 0.

The zeros of the quadratic function are the points at which the parabola crosses the x-axis.

As the given quadratic function has a negative leading coefficient, the parabola opens downwards. Therefore, the interval on which y > 0 is between the zeros.

To find the zeros of the given quadratic function, substitute y = 0 and factor:

$\begin{aligned}y&= 0\\\implies -7x^2+35x-28& = 0\\-7(x^2-5x+4)& = 0\\x^2-5x+4& = 0\\x^2-x-4x+4& = 0\\x(x-1)-4(x-1)&= 0\\(x-1)(x-4)& = 0\end{aligned}$

Apply the zero-product property:

$\implies x-1=0 \implies x=1$

$\implies x-4=0 \implies x=4$

Therefore, the interval on which the function is positive is:

Solution: 1 < x < 4
Interval notation: (1, 4)

<h3>Question 2</h3>

The intervals on which a quadratic function is negative are those intervals where the function is below the x-axis, i.e. where y < 0.

The zeros of the quadratic function are the points at which the parabola crosses the x-axis.

As the given quadratic function has a positive leading coefficient, the parabola opens upwards. Therefore, the interval on which y < 0 is between the zeros.

To find the zeros of the given quadratic function, substitute y = 0 and factor:

$\begin{aligned}y&= 0\\\implies 2x^2-4x-16& = 0\\2(x^2-2x-8)& = 0\\x^2-2x-8& = 0\\x^2-4x+2-8& = 0\\x(x-4)+2(x-4)&= 0\\(x+2)(x-4)& = 0\end{aligned}$

Apply the zero-product property:

$\implies x+2=0 \implies x=-2$

$\implies x-4=0 \implies x=4$

Therefore, the interval on which the function is negative is:

Solution: -2 < x < 4
Interval notation: (-2, 4)

3 0

1 year ago

What is the missing constant term in the perfect square that starts with x^2 - 20x

Andre45 [30]

Answer:

100

Step-by-step explanation:

To make a perfect square trinomial, you want to divide the use the following equation to find the missing constant:

$(\frac{b}{2} )^{2}$ when the quadratic is in standard form.

In this case, we would divide -20 by 2 and square it

-20/2 = -10

(-10)^2 = 100

4 0

3 years ago

Read 2 more answers

A circular fountain has a diameter of 8 feet there is a flower garden planted around the fountain. if the garden extends 12 feet

LuckyWell [14K]

Answer:

753.98 square feet

Step-by-step explanation:

Diameter of the fountain =8 inches

Therefore Radius of the fountain, =8/2=4 Inches

The flower garden extends 12 feet beyond the fountain, therefore:

Radius of the flower garden=4+12 =16 Inches

Let the fountain be the inner circle with radius r and the larger circle which includes the garden have a radius, R. Then:

Area of the flower garden $=\pi (R^2-r^2)$

$=\pi (16^2-4^2)\\=240\pi\\=753.98$ square feet$

7 0

3 years ago

If R is the midpoint of QS,QR=5x-4 and RS=2x+2,find QS

VashaNatasha [74]

Answer:

First graph it out. Once you do that you can see that QR is the same as RS. So you can do the equation 5x-4=2x+2. Once you solve this out you would get 2.4. I'm just an advanced 7th grader, so you can redo the problem to make sure

Step-by-step explanation:

QS=2.4

7 0

3 years ago

If the standard deviation of the sampling distribution of sample means is 5.0 for samples of size 16, then the population standa

miv72 [106K]

Answer:

Step-by-step explanation:

The question states that the sample size is 16 and standard deviation of sampling distribution of sample mean also known as standard error is 5. This information can be written as

σxbar=standard error=5 ,n=sample size=16.

We have to find population standard deviation σ.

We know that

$Standard error=\frac{population standard deviation}{\sqrt{n} }$

$population standard deviation=\sqrt{n} *(standard erorr)$

$\sqrt{n} =\sqrt{16} =4$

Population standard deviation=σ=4*5=20

7 0

4 years ago